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PolySim Studio

Real simulations that run entirely in your browser — no install, no account, free forever locally. Pick an engine and start exploring.

402 of 402 simulators

Visual Node Graph

Wire blocks into a live dataflow — the real editor. Symbolic calculus built in.

Particle / N-Body

Gravity, orbits, and impulse collisions with a real symplectic integrator.

2D Fluid (CFD)

Interactive incompressible Navier–Stokes via Stam's stable-fluids method.

Dynamical Systems

Lorenz, SIR epidemics, pendulums, predator–prey, and reaction–diffusion.

Heat & Wave Fields

2D heat diffusion and the 1D wave equation, solved live.

Symbolic Math

Parse, differentiate, simplify, solve, and plot — a real CAS in your browser.

AI Surrogate

Train an ML surrogate on our solver for instant predictions. The PhysicsX play.

GPU Compute (WebGPU)

Hundreds of thousands of particles on your GPU via WGSL shaders.

WebGPU Fluid

High-res GPU smoke advection you can stir.

GPU N-Body

Thousands of bodies, full O(n²) gravity on the GPU.

GPU PDE Solver

Steady heat/Poisson via GPU Jacobi at high res.

GPU 3D Fluid

3D smoke, simulated + raymarched on the GPU.

Particle-Mesh N-Body

100k+ bodies via GPU particle-mesh gravity.

3D CFD

3D Navier–Stokes plume with z-slices.

3D N-Body

Gravitation in 3D with a drag-to-orbit camera.

3D FEA Space Frame

3D structural analysis; orbit the deformed tower.

3D Heat Diffusion

Volumetric heat with slices and orbit view.

FEA Truss

Finite-element structural analysis: forces & deflection.

Electrostatics

Charges, potential heatmaps, and field lines.

Molecular Dynamics

Lennard-Jones atoms; melt a lattice.

Meshing + BCs

Paint boundary conditions; solve steady heat.

Vector Fields

Plot any F(x,y) as a live quiver diagram.

Optimize + UQ

Gradient descent and Monte-Carlo uncertainty.

SVD

Compress a 64×64 image with a real Jacobi SVD — trade rank k for size, live.

Linear Transformation

Warp the plane with a 2×2 matrix: live determinant, eigenvectors, and unit-square area.

Gaussian Elimination

Step through LU decomposition with partial pivoting — pivots, row swaps, L, U, and det.

Least Squares

Drag points and fit a polynomial by least squares — residuals, R², RMSE, overfitting.

Numerical Methods

Root Finding

Solve f(x)=0 with Newton, bisection, and secant — tangents, brackets, chords animated.

Numerical Methods

Numerical Integration

Estimate a definite integral with Riemann, trapezoid & Simpson rules; watch the error shrink.

Numerical Methods

ODE Solver Methods

Compare Euler, Heun, and RK4 integrating an ODE against its exact analytic solution.

Numerical Methods

Curve Fitting

Fit exponential, logistic, Gaussian, power & sinusoid models to noisy data via Gauss–Newton.

Image Processing

Image Convolution

Apply 3×3 kernels — blur, sharpen, Laplacian edge, emboss, Sobel — to a live test image.

Image Processing

Edge Detection

Sobel, Prewitt, and full Canny edge detection on a test image — live in your browser.

Image Processing

Morphology

Erosion, dilation, opening & closing on a binary image with a chosen structuring element.

Image Processing

2D Image FFT

2D Fourier transform of an image with live low/high/band-pass frequency filtering.

Image Processing

Histogram Equalization

Equalize, stretch, or gamma-correct a low-contrast image using its intensity CDF.

Image Processing

Image Thresholding

Global, Otsu, and adaptive local thresholding with a live histogram and foreground %.

Signal Processing

Spectrogram

Real STFT spectrogram in-browser: chirps, tones, and hops as a time–frequency heatmap.

Signal Processing

Z-Transform

Drag poles & zeros on the z-plane; see live magnitude, phase & impulse response.

Signal Processing

Wavelet Transform

Real Haar/db4 DWT: multi-level decomposition, live scalogram, and threshold denoising.

Control Systems

LQR Control

Solve the Riccati equation to balance a cart-pole with an optimal LQR controller.

Control Systems

State Observer

Reconstruct hidden state from a single output via a Luenberger observer.

Digital Modulation

Modulate bits with QAM/PSK/FSK, add AWGN, and watch the constellation and BER live.

Eye Diagram

Pulse-shape NRZ/raised-cosine bits; add noise & jitter and watch ISI open or close the eye.

BER vs SNR

Waterfall BER vs Eb/N0 for BPSK/QPSK, 16/64-QAM & BFSK — theory + AWGN Monte-Carlo.

Machine Learning

Gaussian Process

Interactive 1D GP regression with live posterior mean, 95% uncertainty band, and samples.

Control Systems

Block Diagram Simulator

Wire block diagrams and run them with RK4 in your browser — a free Simulink alternative.

Launch →Hardware

Hardware Bridge

Connect a real Arduino/sensor/motor over WebSerial — live data in your browser, no install.

Launch →Hardware

Controller → Code

Tune a PID, preview the closed loop, and export a ready-to-flash Arduino/C/Python sketch.

Launch →Fabrication

Fabricate

Design a plate/bracket and export exact DXF, STL, and a bill of materials — make it real.

Launch →Machine Learning

Model Fit & Validate

Paste real measured data and fit a validated model (R², residuals) — identify your system.

Launch →Fabrication

Design Optimizer

State a load + deflection spec; get the lightest or cheapest material and section that meets it.

Notebook

Cells of prose + symbolic math + compute.

Double Pendulum

The textbook chaotic system, integrated with RK4.

Projectile Motion

Ballistics with air drag; tune angle and speed.

Ising Model

A live magnetic phase transition via Monte Carlo.

Fractal Explorer

Zoom into the Mandelbrot and Julia sets.

Fourier Series

Build waves from sine harmonics.

Function Grapher

Plot up to three functions at once.

3D Surface Plotter

Orbit any z = f(x, y) surface.

Matrix Calculator

Multiply, invert, determinant, transpose.

Strange Attractors

Lorenz, Rössler, Aizawa & more in 3D.

RLC Circuit

Step response and damping regimes.

Wave Interference

Two-source ripple-tank fringes.

Cellular Automata

Wolfram rules & Conway's Life.

Random Walk

Brownian motion and diffusion.

Taylor Series

Polynomial approximation, live.

Newton's Method

Root finding, tangent by tangent.

Distributions

Normal, Poisson, binomial & more.

Kepler Orbits

Conic-section orbits under gravity.

Double-Slit

Quantum interference + diffraction.

Cloth / Spring-Mass

Verlet cloth you can grab and swing.

Gravity Well

Curved-spacetime rubber sheet + orbit.

Epidemic Network

Agent-based SIR on a contact graph.

Gradient Descent

Optimization on loss landscapes.

Complex Functions

Domain coloring of f(z).

Sorting Visualizer

Watch algorithms sort in real time.

Boids Flocking

Emergent flocking from three rules.

Complex Systems

Traffic Flow

Phantom jams from random braking.

Spatial Predator–Prey

Agent-based ecology with waves.

Lissajous Curves

Two sine waves, endless patterns.

Magnetic Pendulum

Fractal basins of attraction.

Percolation

A phase transition in connectivity.

DLA Growth

Branching fractals from random walks.

Ray Optics / Lenses

Trace rays through lenses.

Gas in a Box

Kinetic theory → pressure (PV=nRT).

Elastic Collisions

Momentum & energy conservation.

Buoyancy

Archimedes — float or sink by density.

Rocket Equation

Tsiolkovsky Δv budget calculator.

Blackbody Radiation

Planck curve + Wien's law.

Pendulum Wave

Phase art from many periods.

Orbital Transfer

Hohmann transfer Δv.

Standing Waves

Harmonics, nodes & antinodes.

Doppler Effect

Moving-source wavefronts & sonic boom.

Snell's Law

Refraction & total internal reflection.

Diffraction Grating

N-slit interference maxima.

Beats

Two close tones interfere.

Curved Mirrors

Concave/convex ray tracing.

Prism Dispersion

White light into a spectrum.

Fourier Transform

Signal → frequency spectrum.

Titration Curve

pH vs base added; equivalence point.

Reaction Kinetics

Rate laws & Arrhenius decay.

Chemical Equilibrium

Le Chatelier shifts.

pH Calculator

pH/pOH and the acid-base scale.

Radioactive Decay

Half-life exponential decay.

Maxwell-Boltzmann

Molecular speed distribution.

Ideal Gas Law

PV = nRT with a live piston.

Bifurcation Diagram

Logistic map route to chaos.

Direction Field

Slope fields + solution curves.

Riemann Sums

Integrals as stacked rectangles.

Eigenvectors

2×2 transforms & invariant directions.

Markov Chains

Converge to a stationary distribution.

Parametric Grapher

Trace x(t), y(t) curves.

Euler vs RK4

ODE integration accuracy.

A* Pathfinding

Shortest path, draw walls.

Maze Generator

Carve & solve perfect mazes.

Neural Network

Train an MLP, watch it learn.

k-Means Clustering

Unsupervised clustering, live.

Convex Hull

Wrap points in O(n log n).

L-System Fractals

Grow plants from grammars.

Turing Machine

The model of computation.

Image Convolution

Kernels behind every CNN.

Complex Systems

Forest Fire Model

Self-organized criticality.

Complex Systems

Abelian Sandpile

Avalanches build a fractal.

Complex Systems

Schelling Segregation

Mild bias, sharp segregation.

Complex Systems

Langton's Ant

Two rules, emergent highway.

Complex Systems

Reaction-Diffusion

Gray-Scott Turing patterns.

Complex Systems

Elementary CA

Wolfram's 256 rules.

Complex Systems

Genetic Algorithm

Evolve toward the peak.

Complex Systems

Ant Colony Optimization

Swarm-solved TSP.

First Responders

Wildfire Spread

Wind + slope fire behavior.

First Responders

Hazmat Plume

Gaussian dispersion + PAD.

First Responders

Building Evacuation

Egress flow & clear time.

First Responders

START Triage

Mass-casualty triage tool.

First Responders

Fire Hose Hydraulics

Friction loss & pump pressure.

First Responders

Skid-to-Stop Speed

Accident reconstruction.

First Responders

Radio Range

VHF/UHF link budget.

First Responders

Blast Standoff

Overpressure & safe distance.

Exoplanet Transit

Light-curve transit method.

H-R Diagram

The map of the stars.

Lagrange Points

Restricted 3-body equilibria.

Roche Limit

When tides shred a moon.

Hubble's Law

The expanding universe.

Telescope Optics

Resolution & magnification.

Stellar Parallax

Distance from angle shift.

Escape Velocity

Speed to leave a world.

Earth & Climate

Energy Balance

Greenhouse equilibrium temp.

Earth & Climate

Daisyworld

Planetary self-regulation.

Earth & Climate

Milankovitch Cycles

Orbital forcing of ice ages.

Earth & Climate

Tsunami Propagation

Shallow-water wave shoaling.

Earth & Climate

Carbon Cycle

Reservoir box model.

Earth & Climate

Earthquake Shaking

Magnitude, energy, intensity.

Earth & Climate

Groundwater Drawdown

Well cone of depression.

Earth & Climate

Lapse Rate

Atmosphere & cloud base.

Black-Scholes

Option pricing + Greeks.

Option Payoff

Strategy P/L diagrams.

Monte Carlo (GBM)

Price-path distributions.

Efficient Frontier

Portfolio risk vs return.

Value at Risk

VaR & expected shortfall.

Bond Pricing

Price, yield & duration.

Compound Interest

Investment growth over time.

Loan Amortization

Mortgage payment breakdown.

SIR Epidemic

Outbreak compartment model.

Hodgkin-Huxley Neuron

Action potential spikes.

Lotka-Volterra

Predator-prey cycles.

Hardy-Weinberg

Allele frequency & selection.

Enzyme Kinetics

Michaelis-Menten curves.

Logistic Growth

Population carrying capacity.

Genetic Drift

Wright-Fisher allele drift.

Sequence Alignment

Needleman-Wunsch DNA.

Beam Deflection

Sag & bending moment.

Column Buckling

Euler critical load.

Mohr's Circle

2D stress transformation.

Shear & Moment

SFD/BMD diagrams.

Retaining Wall

Rankine earth pressure.

Seismic Base Shear

Equivalent lateral force.

Soil Bearing

Terzaghi capacity.

Concrete Beam

RC flexural capacity.

Bode Plot

Frequency response.

Filter Designer

RC/RLC filter response.

PID Controller

Step-response tuning.

Transmission Line

VSWR & reflections.

Op-Amp Circuits

Amplifier configurations.

Three-Phase Power

Grid power & phasors.

Transistor Bias

BJT Q-point load line.

Sampling & Aliasing

The Nyquist theorem.

Hypothesis Test

p-values & rejection regions.

Linear Regression

Least squares & R².

Central Limit Theorem

Means go normal.

Confidence Intervals

What 95% really means.

Bayesian Inference

Prior × likelihood → posterior.

Bootstrap

Resampling confidence.

PCA

Axes of maximum variance.

A/B Test

Two-proportion significance.

Forward Kinematics

Joint angles → end effector.

Inverse Kinematics

Target → joint angles.

Differential Drive

Wheel speeds → path.

Cart-Pole Balance

Inverted pendulum control.

Quadcopter Control

Nested PID flight.

RRT Path Planning

Sampling-based planner.

DC Motor

Speed-torque & step.

Kalman Filter

Optimal state estimation.

Particle in a Box

Quantized energy levels.

Quantum Tunneling

Through a forbidden barrier.

Bloch Sphere

The state of a qubit.

Hydrogen Orbitals

Electron probability clouds.

Special Relativity

Time dilation & contraction.

Photoelectric Effect

Einstein's photon.

Quantum Harmonic Oscillator

Evenly-spaced energy ladder.

Stern-Gerlach

Spin measurement.

Harmonic Series

Overtones & timbre.

Equal Temperament

Tuning & cents.

Chladni Plates

Nodal sand patterns.

Helmholtz Resonator

Cavity resonance.

Room Modes

Standing waves in a room.

Reverb Time (Sabine)

RT60 decay.

Sound Levels (dB)

Decibel addition & falloff.

Additive Synthesis

Tone from sine waves.

Stress-Strain Curve

Tensile test to fracture.

Carnot Cycle

Ideal engine efficiency.

Otto Cycle

Gasoline engine P-V.

Phase Diagram

Solid, liquid, gas.

Thermal Expansion

Growth with temperature.

Fatigue (S-N)

Cyclic life to failure.

Entropy

The second law in action.

Thermal Resistance

R-value composite wall.

Linear Programming

Optimize over constraints.

0/1 Knapsack

DP value maximization.

M/M/1 Queue

Queueing theory.

Economic Order Quantity

Inventory cost optimum.

Simulated Annealing

Escape local minima.

Critical Path (CPM)

Project scheduling.

Game Theory (Nash)

2×2 equilibria.

Maximum Flow

Network flow & min cut.

Shortest Path

Dijkstra weighted graph.

Spanning Tree

Kruskal MST.

Graph Coloring

Chromatic number.

Small-World Network

Watts-Strogatz rewiring.

PageRank

Importance by links.

Bipartite Matching

Optimal assignment.

Network Centrality

Who matters most.

Graph Traversal

BFS vs DFS.

Supply & Demand

Market equilibrium.

Price Elasticity

Demand sensitivity.

Monopoly Pricing

Market power & DWL.

Cobb-Douglas

Optimal input mix.

Lorenz & Gini

Income inequality.

Laffer Curve

Tax rate vs revenue.

Comparative Advantage

Gains from trade.

Consumer Choice

Utility maximization.

Airfoil Lift & Drag

Wing polar & stall.

Glide Performance

Range from altitude.

Rocket Staging

Multi-stage delta-v.

Atmospheric Reentry

Heating & g-load.

Standard Atmosphere

ISA T/P/density.

Mach Cone

Supersonic shock.

Propeller Thrust

Actuator-disk theory.

Orbital Elements

Shape of an orbit.

Atmospheric Stability

CAPE & convection.

Coriolis Effect

Why winds curve.

Hurricane Model

Pressure-driven winds.

Wind Chill & Heat Index

Apparent temperature.

Psychrometrics

Dew point & wet bulb.

Geostrophic Wind

Wind along isobars.

Rossby Waves

Meandering jet stream.

Tornado Vortex

Rankine wind profile.

Laser Cavity

Gain, loss & threshold.

Fiber Optics

Total internal reflection.

Gaussian Beam

Waist & divergence.

Polarization

Malus's law.

Thin-Film Coating

Anti-reflection interference.

Single-Slit Diffraction

Fraunhofer pattern.

Bragg Mirror

Dielectric reflector.

LED Band Gap

Gap sets the color.

Nuclear Binding Energy

Fusion vs fission.

Fission Chain Reaction

Criticality factor k.

Fusion (Lawson)

Triple product ignition.

Radiometric Dating

Isotope clock ages.

Radiation Shielding

Attenuation & HVL.

Radiation Dose

Time, distance, shielding.

Reactor Kinetics

Reactivity & period.

Neutron Transport

Random walk & moderation.

Solar PV System

Panels to kilowatt-hours.

Wind Turbine Power

Betz-limited power curve.

Hydroelectric Power

Head × flow × gravity.

Heat Pump COP

Heat moved vs energy in.

EV Range & Efficiency

Speed vs range.

Battery Storage

Usable capacity & backup.

Carbon Footprint

Annual CO₂ breakdown.

Levelized Cost of Energy

True $/MWh.

RSA Encryption

Public-key crypto.

Diffie-Hellman

Shared-secret exchange.

Classical Ciphers

Caesar & Vigenère.

Hash Avalanche

One bit changes all.

Shannon Entropy

Info & password strength.

Huffman Coding

Optimal compression.

Hamming Code

Single-error correction.

Elliptic Curve

ECC point addition.

Great-Circle Distance

Haversine on a sphere.

Map Projection

Mercator distortion.

GPS Trilateration

Position from distances.

Viewshed

Line-of-sight visibility.

Spatial Interpolation

IDW surface from samples.

Dead Reckoning

Navigation with drift.

Rhumb Line

vs great circle.

Point in Polygon

Ray-casting geofence.

Tolerance Stack-Up

Worst-case vs RSS.

Process Capability

Cp / Cpk & defects.

OEE

Equipment effectiveness.

CNC Feeds & Speeds

Cutting parameters.

Line Balancing

Takt time & stations.

SPC Control Chart

In control or not.

Learning Curve

Cost falls with volume.

Little's Law

WIP = throughput × time.

Elo Rating

Win probability & updates.

Pythagorean Expectation

Wins from points.

Marathon Pacing

Splits & strategy.

Magnus Effect

Spinning ball curve.

Expected Goals (xG)

Shot quality model.

Win Probability

Live game odds.

Tournament Odds

Bracket simulation.

Basketball Shot Arc

Optimal release angle.

Dice Probability

Sum distributions.

Poker Odds

Five-card hand odds.

Roulette Edge

House edge & EV.

Birthday Paradox

23 people, even odds.

Gambler's Ruin

The house always wins.

Monty Hall

Always switch.

Law of Large Numbers

Averages converge.

Lottery Odds

Jackpot combinatorics.

Gyroscope & Precession

Why a spinning top doesn't fall.

Coupled Oscillators

Normal modes and beating.

Driven Resonance

Amplitude near the natural frequency.

Gear Train Ratios

Trade speed for torque.

Rolling Without Slipping

Race shapes down a ramp.

Rocket Equation

Tsiolkovsky Δv and staging.

Collision Lab

Elastic vs inelastic 1D collisions.

Moment of Inertia

Rotational mass & parallel-axis.

Pipe Flow & Head Loss

Darcy–Weisbach friction.

Pump & System Curves

Find the operating point.

Open-Channel Flow

Manning's equation for rivers.

Heat Exchanger (LMTD)

Counter vs parallel flow.

Compressible Nozzle Flow

De Laval nozzle & choking.

Bernoulli / Venturi

Faster flow, lower pressure.

Fin Cooling

Heat sinks & extended surfaces.

Pitot-Tube Airspeed

How planes measure speed.

555 Timer

Classic astable oscillator.

Logic Gates

Truth tables for digital gates.

Binary Adder

Ripple-carry addition.

BJT Amplifier

Bias point & voltage gain.

Active Filter (Bode)

Frequency response & roll-off.

Buck Converter

Step-down switching regulator.

Antenna Pattern

Dipole radiation & directivity.

Motor Torque–Speed

DC motor operating point.

Acid–Base Titration

The pH jump at equivalence.

Chemical Equilibrium

ICE table & how far it goes.

Nernst Equation

Cell voltage from concentration.

Arrhenius Rate

Temperature and reaction speed.

Solubility & Saturation

How much dissolves vs temperature.

Van der Waals Gas

Where the ideal gas law breaks.

Buffer Solution

Henderson–Hasselbalch pH.

Electrolysis

Faraday's laws & electroplating.

Pharmacokinetics

Drug concentration over time.

Michaelis–Menten

Enzyme kinetics & saturation.

Windkessel Model

Arterial pressure waveform.

Cardiac Action Potential

The electrical heartbeat.

Mutation–Selection

Allele frequency evolution.

Phylogenetic Distance

DNA divergence to a tree.

Tumor Growth

Gompertz & logistic dynamics.

O₂–Hemoglobin Curve

How blood loads & unloads O₂.

Bond Duration

Interest-rate sensitivity.

Option Greeks

Delta, gamma, vega, theta.

Binomial Option Pricing

Lattice option valuation.

CAPM & Beta

Pricing risk with beta.

DCF Valuation

Present value of future cash.

Kelly Criterion

Optimal bet sizing.

Retirement Monte Carlo

Range of portfolio outcomes.

Dividend Discount Model

Gordon growth valuation.

PID Controller Tuner

Tune Kp, Ki, Kd for a step.

Root Locus

Poles moving with gain.

Second-Order Step Response

Overshoot & settling time.

Bode Plot

Magnitude, phase & margins.

State-Space Phase Portrait

Eigenvalues & stability.

Lead–Lag Compensator

Shaping phase for stability.

Feedback Loop

Why feedback beats open-loop.

Damping Regimes

Under, critical & overdamped.

FIR Filter Designer

Windowed-sinc low-pass.

DFT Spectrum Analysis

Find hidden frequencies.

Window Functions

Taming spectral leakage.

ADC Quantization

Bits, levels & SNR.

AM / FM Modulation

How radio carries sound.

Matched Filter

Pull signal out of noise.

Sampling & Nyquist

Aliasing and the Nyquist rate.

Pole–Zero Response

Poles peak, zeros notch.

Perceptron

The simplest learning machine.

k-Means Clustering

Find groups in data.

Decision Tree

Carve space into boxes.

k-Nearest Neighbors

Classify by your neighbors.

Logistic Regression

Probability from a line.

SVM Maximum Margin

The widest separating street.

Naive Bayes

Classification by probability.

Q-Learning Gridworld

Learning to reach a goal.

Power up your workspace

Priority Bug / Model Rescue

Fast-turnaround help when a model is broken before a deadline.

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An audit of your mesh with quality metrics and fixes.

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